Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Section 9.6 - Properties of Logarithms - Exercise Set: 6

Answer

$log_{5}(y^{4}-7y)$

Work Step by Step

The product property of logarithms tells us that $log_{b}xy=log_{b}x+log_{b}y$ (where x, y, and, b are positive real numbers and $b\ne1$). Therefore, $log_{5}y^{3}+log_{5}(y-7)= log_{5}(y^{3}\times(y-7))=log_{5}(y^{4}-7y)$.
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